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College Statistics · Lessons

College Statistics lessons

10 sections · 69 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

College Statistics

Practice 69 skills across this outline.

Recommended next
Discrete Random Variables & Expected Value
Probability Foundations · Random Variables and Distributions
Long-form lesson
Weighting distribution
18 categories
Problem-Solving & Statistical Reasoning
10%
Data, Variables & Study Design
10%
Categorical Data Analysis
10%
Probability and Simulation
10%
Hypothesis Testing · Hypothesis Test Concepts
7%
Descriptive Statistics · Summarizing Distributions
6%

Skills

The comprehensive taxonomy of college statistics — drill into a card to work its skills.

Probability Foundations · Random Variables and Distributions

5 core skills5% total weight
0/5 completed
5 skills to mastery
1
Discrete Random Variables & Expected ValueRecommended
Long-form
2
Sampling Distributions & CLTAvailable
Long-form
3
Normal Tables & TechnologyAvailable
Long-form
4
Variance of a Random VariableAvailable
Long-form
5
Normal & Standard Normal DistributionAvailable
Long-form

Probability Foundations · Probability Rules and Conditional Probability

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Basic Probability RulesAvailable
Long-form
2
Bayes' RuleAvailable
Long-form
3
Sample Spaces & EventsAvailable
Long-form
4
Conditional Probability & IndependenceAvailable
Long-form

Estimation and Confidence Intervals · Confidence Interval Concepts

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Confidence Level & Margin of ErrorAvailable
Long-form
2
Point Estimates & Sampling VariabilityAvailable
Long-form
3
Conditions for InferenceAvailable
Long-form

Estimation and Confidence Intervals · Two-Sample Confidence Intervals

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
CI for Difference of ProportionsAvailable
Long-form
2
CI for Difference of MeansAvailable
Long-form

Estimation and Confidence Intervals · One-Sample Confidence Intervals

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Sample Size SelectionAvailable
Long-form
2
CI for a ProportionAvailable
Long-form
3
CI for a MeanAvailable
Long-form

Descriptive Statistics · Summarizing Distributions

7 core skills6% total weight
0/7 completed
7 skills to mastery
1
Measures of SpreadAvailable
Long-form
2
Histograms & Distribution PlotsAvailable
Long-form
3
Percentiles & QuartilesAvailable
Long-form
4
Boxplots & Five-Number SummaryAvailable
Long-form
5
Shape & OutliersAvailable
Long-form
6
Z-Scores & StandardizationAvailable
Long-form
7
Measures of CenterAvailable
Long-form

Descriptive Statistics · Bivariate Data and Association

5 core skills4% total weight
0/5 completed
5 skills to mastery
1
Categorical AssociationAvailable
Long-form
2
Residual PlotsAvailable
Long-form
3
Scatterplots & AssociationAvailable
Long-form
4
Least Squares RegressionAvailable
Long-form
5
CorrelationAvailable
Long-form

Problem-Solving & Statistical Reasoning

5 core skills10% total weight
0/5 completed
5 skills to mastery
1
Interpreting Results in ContextAvailable
Long-form
2
Choosing Statistical ProceduresAvailable
Long-form
3
Common Statistical PitfallsAvailable
Long-form
4
Checking ConditionsAvailable
Long-form
5
Writing Statistical ConclusionsAvailable
Long-form

Regression and Correlation · Regression Inference

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Interpreting Slope & InterceptAvailable
Long-form
2
R² & Model FitAvailable
Long-form
3
Prediction & ExtrapolationAvailable
Long-form
4
Inference for Regression SlopeAvailable
Long-form

Regression and Correlation · Modeling and Diagnostics

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Linearizing TransformationsAvailable
Long-form
2
Residual Analysis & InfluenceAvailable
Long-form
3
Correlation vs. CausationAvailable
Long-form

Common Distributions · Continuous Distributions

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Normal Distribution ApplicationsAvailable
Long-form
2
t-Distribution & Degrees of FreedomAvailable
Long-form
3
Chi-Square DistributionAvailable
Long-form

Common Distributions · Discrete Distributions

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Poisson DistributionAvailable
Long-form
2
Binomial DistributionAvailable
Long-form
3
Geometric DistributionAvailable
Long-form

Data, Variables & Study Design

7 core skills10% total weight
0/7 completed
7 skills to mastery
1
Levels of MeasurementAvailable
Long-form
2
Confounding & ControlAvailable
Long-form
3
Observational Studies vs. ExperimentsAvailable
Long-form
4
Random Assignment & CausationAvailable
Long-form
5
Population vs. SampleAvailable
Long-form
6
Types of VariablesAvailable
Long-form
7
Random Sampling & BiasAvailable
Long-form

Categorical Data Analysis

3 core skills10% total weight
0/3 completed
3 skills to mastery
1
Chi-Square Test of IndependenceAvailable
Long-form
2
Expected Counts for Chi-SquareAvailable
Long-form
3
Chi-Square Goodness-of-FitAvailable
Long-form

Hypothesis Testing · Two-Sample Tests

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
z-Test for Difference of ProportionsAvailable
Long-form
2
t-Test for Difference of MeansAvailable
Long-form

Hypothesis Testing · Hypothesis Test Concepts

5 core skills7% total weight
0/5 completed
5 skills to mastery
1
Significance Level & Decision RulesAvailable
Long-form
2
Test Statistics & p-ValuesAvailable
Long-form
3
Null & Alternative HypothesesAvailable
Long-form
4
PowerAvailable
Long-form
5
Type I & Type II ErrorsAvailable
Long-form

Hypothesis Testing · One-Sample Tests

2 core skills1% total weight
0/2 completed
2 skills to mastery
1
z-Test for a ProportionAvailable
Long-form
2
t-Test for a MeanAvailable
Long-form

Probability and Simulation

3 core skills10% total weight
0/3 completed
3 skills to mastery
1
Bootstrap ResamplingAvailable
Long-form
2
Simulation for ProbabilityAvailable
Long-form
3
Randomization TestsAvailable
Long-form